Least Common Multiple of 5026 and 5034

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5026 and 5034 the smallest integer that is 12650442 that is divisible by both numbers.

Least Common Multiple (LCM) of 5026 and 5034 is 12650442.

LCM(5026,5034) = 12650442

LCM of 5026 and 5034

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 5026 and 5034

LCM of 5026 and 5034 is 12650442

Least common multiple can be found by multiplying the highest exponent prime factors of 5026 and 5034. First we will calculate the prime factors of 5026 and 5034.

Prime Factorization of 5026


2 5026
7 2513
359 359
1

Prime factors of 5026 are 2, 7,359. Prime factorization of 5026 in exponential form is:

5026 = 21×71×3591

Prime Factorization of 5034


2 5034
3 2517
839 839
1

Prime factors of 5034 are 2, 3,839. Prime factorization of 5034 in exponential form is:

5034 = 21×31×8391

Now multiplying the highest exponent prime factors to calculate the LCM of 5026 and 5034.

LCM(5026,5034) = 21×31×71×3591×8391
LCM(5026,5034) = 12650442

Factors of 5026

List of positive integer factors of 5026 that divides 5026 without a remainder.

1, 2, 7, 14, 359, 718, 2513, 5026

Factors of 5034

List of positive integer factors of 5034 that divides 5034 without a remainder.

1, 2, 3, 6, 839, 1678, 2517, 5034

Least Common Multiple of 5026 and 5034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5026 and 5034, than apply into the LCM equation.

GCF(5026,5034) = 2
LCM(5026,5034) = ( 5026 × 5034) / 2
LCM(5026,5034) = 25300884 / 2
LCM(5026,5034) = 12650442

Properties of LCM 5026 and 5034

(i) The LCM of 5034 and 5026 is associative

LCM of 5026 and 5034 = LCM of 5034 and 5026

Related Least Common Multiples of 5026

Related Least Common Multiples of 5034

Frequently Asked Questions on LCM of 5026 and 5034

1. What is the LCM of 5026 and 5034?

Answer: LCM of 5026 and 5034 is 12650442.

2. What are the Factors of 5026?

Answer: Factors of 5026 are 1, 2, 7, 14, 359, 718, 2513, 5026. There are 8 integers that are factors of 5026. The greatest factor of 5026 is 5026.

3. What are the Factors of 5034?

Answer: Factors of 5034 are 1, 2, 3, 6, 839, 1678, 2517, 5034. There are 8 integers that are factors of 5034. The greatest factor of 5034 is 5034.

4. How to Find the LCM of 5026 and 5034?

Answer:

Least Common Multiple of 5026 and 5034 = 12650442

Step 1: Find the prime factorization of 5026

5026 = 2 x 7 x 359

Step 2: Find the prime factorization of 5034

5034 = 2 x 3 x 839

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 12650442 = 2 x 3 x 7 x 359 x 839

Step 4: Therefore, the least common multiple of 5026 and 5034 is 12650442.